# A new class of relativistic model of compact stars of embedding class I

## TL;DR

This paper introduces a new relativistic model for anisotropic compact stars with a spherically symmetric metric of embedding class one, ensuring physical plausibility and stability without central singularities.

## Contribution

The authors develop a novel anisotropic compact star model using an arbitrary metric function and Karmarkar condition, expanding the class of physically viable relativistic stellar models.

## Key findings

- Model is free from central singularities
- Satisfies all energy conditions
- Ensures static stability of the star

## Abstract

In the present paper we have constructed a new relativistic anisotropic compact star model having a spherically symmetric metric of embedding class one. Here we have assumed an arbitrary form of metric function and solved the Einstein relativistic field equations with the help of Karmarkar condition for an anisotropic matter distri- bution. The physical properties of our model such as pressure, density, mass function, surface red-shift, gravitational red-shift are investigated and the stability of the stellar configuration is discussed in details. Our model is free from central singularities and satisfies all energy conditions. The model we present here satisfy the static stability criterion.